Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 201/844,468/277,596/843
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 201,468,596
Greatest Common Factor of Numerators i.e. GCF of 201,468,596 is 1 .
LCM of Denominators means LCM of 844,277,843 as per the given fractions.
LCM of 844,277,843 is 197083284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 201,468,596
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Greatest Common Factor
We found the factors 201,468,596 . The biggest common factor number is the GCF number.
So the greatest common factor 201,468,596 is 1.
Lets's calculate LCM of 844,277,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 197083284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197083284
Therefore, the GCF of Fractions 201/844,468/277,596/843 is 1/197083284
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 844,277,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,277,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,277,843) x common factors =1 x 1 = 1
LCM(844,277,843) = ( 844 × 277 × 843 ) / 1
LCM(844,277,843) = 197083284 / 1
LCM(844,277,843) = 197083284
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 201/844, 468/277, 596/843?
Answer: GCF of Numerators as per given numbers 201/844, 468/277, 596/843 is
GCF of Numerators i.e. for 201,468,596 is 1
LCM of denominators i.e. for 844,277,843 is 197083284.
Thus, GCF of Fractions is 1/197083284.Finally, GCF of Fractions for 201/844, 468/277, 596/843 is 1/197083284.